Geodesic Regression Characterizes 3D Shape Changes in the Female Brain During Menstruation

Myers, A., Taylor, C., Jacobs, E., Miolane, N.

Women are at increased risk for neurological diseases after menopause, yet the link between brain shape and hormone fluctuations is understudied. We introduce fast approximation methods for geodesic regression on 3D brain surfaces, enabling efficient analysis of shape changes. Applied to real data, our approach reveals how the female hippocampus changes shape across the menstrual cycle in relation to progesterone.